In this short paper we present the first application of the IMAS compatible code NICE to equilibrium reconstruction for ITER geometry. The inverse problem is formulated as a least square problem and the numerical methods implemented in NICE in order to solve it are presented. The results of a numerical experiment are shown: a reference...
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February 25, 2022 (v1)Journal articleUploaded on: February 22, 2023
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February 25, 2022 (v1)Journal article
In this short paper we present the first application of the IMAS compatible code NICE to equilibrium reconstruction for ITER geometry. The inverse problem is formulated as a least square problem and the numerical methods implemented in NICE in order to solve it are presented. The results of a numerical experiment are shown: a reference...
Uploaded on: December 3, 2022 -
November 10, 2021 (v1)Publication
In this short paper we present the first application of the IMAS compatible code NICE to equilibrium reconstrution for ITER geometry. The inverse problem is formulated as a least square problem and the numerical methods implemented in NICE in order to solve it are presented. The results of a numerical experiment are shown: a reference...
Uploaded on: December 3, 2022 -
November 10, 2021 (v1)Publication
We wish to compute numerically the equilibrium for a hot plasma in a tokamak. For such a problem in an axisymmetric configuration, we present a non-overlapping mortar element approach, that couples piece-wise linear finite elements in a region that does not contain the plasma and reduced Hsieh-Clough-Tocher finite elements elsewhere, to...
Uploaded on: December 3, 2022 -
April 2, 2012 (v1)Conference paper
We describe an algorithm for the reconstruction of the equilibrium in a Tokamak from discrete magnetic measurements. In order to solve this inverse problem we first use toroidal harmonics to compute Cauchy boundary conditions on a fixed closed contour. Then we use these Cauchy boundary conditions to solve a non-linear source identification problem.
Uploaded on: February 28, 2023 -
2012 (v1)Journal article
The reconstruction of the equilibrium of a plasma in a Tokamak is a free boundary problem described by the Grad-Shafranov equation in axisymmetric configuration. The right-hand side of this equation is a nonlinear source, which represents the toroidal component of the plasma current density. This paper deals with the identification of this...
Uploaded on: December 3, 2022 -
August 2023 (v1)Journal article
We consider the axisymmetric formulation of the equilibrium problem for a hot plasma ina tokamak. We adopt a non-overlapping mortar element approach, that couples C0 piece-wise linear Lagrange finite elements in a region that does not contain the plasma and C1piece-wise cubic reduced Hsieh–Clough–Tocher finite elements elsewhere, to...
Uploaded on: October 11, 2023 -
January 2017 (v1)Journal article
The modelization of polarimetry Faraday rotation measurements commonly used in tokamak plasma equilibrium reconstruction codes is an approximation to the Stokes model. This approximation is not valid for the foreseen ITER scenarios where high current and electron density plasma regimes are expected. In this work a method enabling the consistent...
Uploaded on: February 28, 2023 -
2015 (v1)Journal article
We present a comprehensive survey of the various computational methods in CEDRES++ for finding equilibria of toroidal plasma. Our focus is on free-boundary plasma equilib-ria, where either poloidal field coil currents or the temporal evolution of voltages in poloidal field circuit systems are given data. Centered around a piecewise linear...
Uploaded on: March 25, 2023 -
2010 (v1)Book section
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Uploaded on: December 2, 2022 -
2010 (v1)Book section
No description
Uploaded on: October 11, 2023